(2/3)^x= 9/4

Lösung

(\frac{2}{3})^{x} = \frac{9}{4}

x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

Dezimale

x = - 2

Schritte zur Lösung

(\frac{2}{3})^{x} = \frac{9}{4}

Wende Exponentenregel an

x ln (\frac{2}{3}) = ln (\frac{9}{4})

Löse

x ln (\frac{2}{3}) = ln (\frac{9}{4}) : x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

3^{x} + 3^{- x} = \frac{10}{3}

3^{x} = 1

9^{x} + 1 5^{x} = 2 5^{x}

6^{x + 1} = 2^{x}

7^{x^{2} - 13 x + 45} = 16807